Modified Euler's method with a graded mesh for a class of Volterra integral equations with weakly singular kernel

DOI10.1007/s11075-013-9799-3zbMath1304.65272OpenAlexW1978098021MaRDI QIDQ466864

Hassan Majidian

Publication date: 31 October 2014

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-013-9799-3

zbMATH Keywords

Volterra integral equationnumerical experimentweakly singular kernelgraded meshEuler's method

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Volterra integral equations (45D05)

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A New Bernoulli Wavelet Method for Numerical Solutions of Nonlinear Weakly Singular Volterra Integro-Differential Equations ⋮ Combination of discrete technique on graded meshes with barycentric rational interpolation for solving a class of time-dependent partial integro-differential equations with weakly singular kernels ⋮ Composite quadrature rules for a class of weakly singular Volterra integral equations with noncompact kernels ⋮ A fully discrete fast Fourier-Galerkin method solving a boundary integral equation for the biharmonic equation ⋮ An operational matrix based scheme for numerical solutions of nonlinear weakly singular partial integro-differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• Numerical methods for a Volterra integral equation with nonsmooth solutions
• Collocation and iterated collocation methods for a class of weakly singular Volterra integral equations
• Existence, uniqueness and smoothness results for second-kind Volterra equations with weakly singular kernels
• An extrapolation method for a Volterra integral equation with weakly singular kernel
• Numerical solution of a nonuniquely solvable Volterra integral equation using extrapolation methods
• High order product integration methods for a Volterra integral equation with logarithmic singular kernel
• On a graded mesh method for a class of weakly singular Volterra integral equations
• Numerical analysis of a singular integral equation
• Spline Collocation-Interpolation Method for Linear and Nonlinear Cordial Volterra Integral Equations
• Cordial Volterra Integral Equations 1
• Cordial Volterra Integral Equations 2
• Spline Collocation for Cordial Volterra Integral Equations
• The Numerical Solution of Weakly Singular Volterra Integral Equations by Collocation on Graded Meshes
• A Hermite-Type Collocation Method for the Solution of an Integral Equation with a Certain Weakly Singular Kernel
• Collocation Methods for Volterra Integral and Related Functional Differential Equations
• APPLICABILITY OF SPLINE COLLOCATION TO CORDIAL VOLTERRA EQUATIONS
• Contributions to the theory of heat transfer through a laminar boundary layer